Chapter 2 Linear Equations Section 1 Introduction to

Chapter 2 Linear Equations Section 1 Introduction to Linear Equations Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 1

Study Strategy Study Groups üReading Ahead Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 2

Concept Linear Equations An equation is a mathematical statement of equality between two expressions. A linear equation has a single variable, and that variable does not have an exponent that is greater than 1. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 3

Concept Linear Equations Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 4

Concept Solution of an Equation A value that when substituted for the variable in the equation produces a true statement. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 5

Example Solution of an Equation Is a solution of ? is a solution. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 6

Concept Multiplication Property of Equality For any algebraic expressions A and B, and any nonzero number n, if then. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 7

Example Multiplication Property of Equality Solve Copyright © 2016, 2012, and 2009 Pearson Education, Inc. . 8

Concept Addition Property of Equality For any algebraic expressions A and B, and any number n, if then and. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 9

Example Addition Property of Equality Solve Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 10

Example Addition Property of Equality Solve Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 11